Undergraduate Lecture Notes in Physics

Variational Approach to Gravity Field Theories

From Newton to Einstein and Beyond

Authors: Vecchiato, Alberto

  • Describes an approach to general relativity particularly relevant for physics students
  • Evidences the continuity, from the point of view of theoretical physics, of all the gravity theories as field theories
  • Presents solved exercises and examples throughout the text
  • Meets the needs of students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject
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eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-51211-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-51209-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.

About the authors

Alberto Vecchiato graduated in Physics from the University of Padova, Italy, in 1996 and subsequently gained his PhD from the same university for a thesis on relativistic astrometry. He currently works at the Astrophysical Observatory of Torino, Pino Torinese, Italy. Dr. Vecchiato's scientific interests include general relativistic models of light propagation and astrometric measurements; high-precision tests of general relativity; alternative theories of gravity; and space astrometry. He is author of several research papers and a member of the Italian Society of General Relativity and Gravitational Physics (SIGRAV). Dr. Vecchiato has collaborated in various astronomical and astrophysical projects and proposals, he has been a member of the Gaia mission (ESA) since 2001, and in 2006 he became the coordinator of the verification sphere reconstruction pipeline of its data reduction consortium.

Reviews

“The first impression is good, also because all the proposed exercises and examples are fully solved. … The author’s approach and writing is clear, straightforward, and with specific attention to the connection with the evolution of the physical principles that lie at the basis of gravitation. The book is appropriate for university students, as well as, for more specialists or practitioners of matter.” (Gabriella Bernardi, Astrocom et al., astrocometal.blogspot.de, July, 2017)


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Table of contents (10 chapters)

  • A Short Introduction to Field Theories and Variational Approach

    Vecchiato, Alberto

    Pages 3-22

  • The Geometrical Character of Physics Theories

    Vecchiato, Alberto

    Pages 23-28

  • Fundamental Principles of Classical Physics

    Vecchiato, Alberto

    Pages 29-56

  • Classical Physics, Fundamental Principles, and Lagrangian Approach

    Vecchiato, Alberto

    Pages 57-75

  • Special Relativity Setting Up

    Vecchiato, Alberto

    Pages 79-114

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-51211-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-51209-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Variational Approach to Gravity Field Theories
Book Subtitle
From Newton to Einstein and Beyond
Authors
Series Title
Undergraduate Lecture Notes in Physics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-51211-2
DOI
10.1007/978-3-319-51211-2
Softcover ISBN
978-3-319-51209-9
Series ISSN
2192-4791
Edition Number
1
Number of Pages
XII, 361
Number of Illustrations and Tables
3 b/w illustrations, 4 illustrations in colour
Topics